ASVAB Math Knowledge Practice Test 398803 Results

Your Results Global Average
Questions 5 5
Correct 0 3.02
Score 0% 60%

Review

1

The dimensions of this cylinder are height (h) = 2 and radius (r) = 1. What is the volume?

62% Answer Correctly
2π
216π
243π
108π
Solution

The volume of a cylinder is πr2h:

v = πr2h
v = π(12 x 2)
v = 2π

2

Breaking apart a quadratic expression into a pair of binomials is called:

74% Answer Correctly

normalizing

deconstructing

squaring

factoring
Solution

To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.

3

The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?

67% Answer Correctly

h x l x w

2lw x 2wh + 2lh

lw x wh + lh

h2 x l2 x w2
Solution

A cube is a rectangular solid box with a height (h), length (l), and width (w). The volume is h x l x w and the surface area is 2lw x 2wh + 2lh.

4

The formula for the area of a circle is which of the following?

24% Answer Correctly

c = π r2

c = π d2

c = π d

c = π r
Solution

The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.

5

This diagram represents two parallel lines with a transversal. If d° = 154, what is the value of a°?

73% Answer Correctly
26
29
143
31
Solution

For parallel lines with a transversal, the following relationships apply:

  • angles in the same position on different parallel lines equal each other (a° = w°, b° = x°, c° = z°, d° = y°)
  • alternate interior angles are equal (a° = z°, b° = y°, c° = w°, d° = x°)
  • all acute angles (a° = c° = w° = z°) and all obtuse angles (b° = d° = x° = y°) equal each other
  • same-side interior angles are supplementary and add up to 180° (e.g. a° + d° = 180°, d° + c° = 180°)

Applying these relationships starting with d° = 154, the value of a° is 26.